Experimental Analysis of Complex Chaotic System by Hilbert-Huang Transform Usage

The paper demonstrates one promising algorithm for adaptive prediction of trajectory transitions between local basins of attraction of deterministic chaotic systems using Hilbert-Huang Transform. The expected transitions of higher dimensional chaotic systems are predicted by low order intrinsic modal functions, obtained from state variables by HHT. The behavior of chaotic systems in the state-space is transformed to system behavior in an approximated parameter-space obtained by Huang algorithm. Also a brief comparison to adaptive method using quadratic neural unit (QNU) with forcing inputs, introduced by Bukovsky [2], is shown.